Evaluate ∫ (3 + √x) / (x(3 + x)) dx

[devonsn]

Evaluate the integral ∫ (3 + √x) / (x(3 + x)) dx

I've broken it up into ∫ [3 / x(3 + x)] dx + ∫ [ √x / (x(3 + x))] dx

And that's as far as I can get.

 

[Dick]

The first one is partial fractions. For the second one I suggest u=sqrt(x).